EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

doi:10.1016/S0252-9602(15)30046-1

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (5): 1142-1162.doi: 10.1016/S0252-9602(15)30046-1

EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

Gonzalo ALDUNCIN

Instituto de Geofísica, Universidad Nacional Autónoma de México, México, C. P. 04510, Mexico

收稿日期:2013-11-11 修回日期:2015-02-14 出版日期:2015-09-01 发布日期:2015-09-01
作者简介:Gonzalo ALDUNCIN, E-mail: alduncin@geofisica.unam.mx
基金资助:
The work reported here is part of a project partially supported by DGAPA, UNAM: PAPIIT Clave IN100214.

EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

Gonzalo ALDUNCIN

Instituto de Geofísica, Universidad Nacional Autónoma de México, México, C. P. 04510, Mexico

Received:2013-11-11 Revised:2015-02-14 Online:2015-09-01 Published:2015-09-01
Supported by:
The work reported here is part of a project partially supported by DGAPA, UNAM: PAPIIT Clave IN100214.

摘要/Abstract

摘要：

Tow-phase flow mixed variational formulations of evolution filtration problems with seawater intrusion are analyzed. A dual mixed fractional flow velocity-pressure model is considered with an air-fresh water and a fresh water-seawater characterization. For analysis and computational purposes, spatial decompositions based on nonoverlapping multidomains, above and below the sea level, are variationally introduced with internal boundary fluxes dualized as weak transmission constraints. Further, parallel augmented and exactly penalized duality algorithms, and proximation semi-implicit time marching schemes, are established and analyzed.

关键词: two-phase flow in coastal aquifers, fractional two-phase flow, dual mixed variational analysis, macro-hybrid variational formulations, augmented exactly penalized duality algorithms, proximation semi-implicit time marching schemes

Abstract:

Key words: two-phase flow in coastal aquifers, fractional two-phase flow, dual mixed variational analysis, macro-hybrid variational formulations, augmented exactly penalized duality algorithms, proximation semi-implicit time marching schemes

中图分类号:

35A15

Gonzalo ALDUNCIN. EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS[J]. 数学物理学报(英文版), 2015, 35(5): 1142-1162.

Gonzalo ALDUNCIN. EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS[J]. Acta mathematica scientia,Series B, 2015, 35(5): 1142-1162.

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EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

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